摘要
利用压缩矩阵的Schur标准分解,给出了压缩矩阵与正交投影、EP矩阵的关系;利用薄奇异值分解,通过压缩矩阵的特性给出若干特殊矩阵等价的刻画。
Firstly,the properties of compressed matrices were given through the use of Schur standard decomposition of compressed matrices.Secondly,by means of the thin singular value decomposition,the special matrix was given via the characteristics of the compressed matrix.
作者
刘秀
任芳国
LIU Xiu;REN Fangguo(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi,China)
出处
《咸阳师范学院学报》
2019年第4期13-17,共5页
Journal of Xianyang Normal University
基金
国家自然科学基金项目(11471200)
关键词
压缩矩阵
SCHUR分解
薄奇异值分解
特殊矩阵
compressed matrix
Schur decomposition
thin singular value decomposition
special matrix